International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 27, Pages 1715-1724
doi:10.1155/S0161171203202180
On the prime submodules of multiplication modules.
Reza Ameri
Mathematics Department, Faculty of Basic Sciences, University of Mazandaran, Babolsar, Iran
Abstract
By considering the notion of multiplication modules over a commutative ring with identity, first we introduce the notion product of two submodules of such modules. Then we use this notion to characterize the prime submodules of a multiplication module. Finally, we state and prove a version of Nakayama lemma for multiplication modules and find some related basic results.